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Finding the Third Proportional to 316,309 and 682,443

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Solution

The third proportional to 316,309 and 682,443 is: 1,472,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,309 : 682,443 = 682,443 : x
  2. Step 2: Convert to fraction form
    316,309/682,443 = 682,443/x
  3. Step 3: Cross multiply
    316,309x = 682,443 × 682,443
  4. Step 4: Simplify right side
    316,309x = 465,728,448,249
  5. Step 5: Solve for x
    x = 465,728,448,249/316,309
  6. Step 6: Final answer
    x = 1,472,384.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.